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34130040252 = 223711191944067
BaseRepresentation
bin11111110010010011…
…110001010110111100
310021002120200200111220
4133302103301112330
51024344242242002
623402405113340
72315526361350
oct376223612674
9107076620456
1034130040252
1113524577440
1267460b8850
1332abc176b9
14191ab6d460
15d4b4d97bc
hex7f24f15bc

34130040252 has 96 divisors (see below), whose sum is σ = 104513095680. Its totient is φ = 8398365120.

The previous prime is 34130040251. The next prime is 34130040283. The reversal of 34130040252 is 25204003143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130040251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 954478 + ... + 989589.

It is an arithmetic number, because the mean of its divisors is an integer number (1088678080).

Almost surely, 234130040252 is an apocalyptic number.

It is an amenable number.

34130040252 is an abundant number, since it is smaller than the sum of its proper divisors (70383055428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34130040252 is a wasteful number, since it uses less digits than its factorization.

34130040252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944111 (or 1944109 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 34130040252 its reverse (25204003143), we get a palindrome (59334043395).

The spelling of 34130040252 in words is "thirty-four billion, one hundred thirty million, forty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1254 1463 1596 2508 2926 4389 5852 8778 17556 1944067 3888134 5832201 7776268 11664402 13608469 21384737 23328804 27216938 36937273 40825407 42769474 54433876 64154211 73874546 81650814 85538948 110811819 128308422 147749092 149693159 163301628 221623638 256616844 258560911 299386318 406310003 443247276 449079477 517121822 598772636 775682733 812620006 898158954 1034243644 1218930009 1551365466 1625240012 1796317908 2437860018 2844170021 3102730932 4875720036 5688340042 8532510063 11376680084 17065020126 34130040252